Fraction Calculator - Add, Subtract, Multiply & Divide Fractions
Free online fraction calculator for adding, subtracting, multiplying, and dividing fractions. Step-by-step calculations with automatic simplification.
Enter Fractions and Operation
First Fraction
Second Fraction
Fraction Result
Enter fractions and select operation to calculate
About Fraction Calculator
The Fraction Calculator performs arithmetic operations on fractions and automatically simplifies the results.
Supported Operations:
- Addition: (a/b) + (c/d) = (ad + bc)/(bd)
- Subtraction: (a/b) - (c/d) = (ad - bc)/(bd)
- Multiplication: (a/b) × (c/d) = (ac)/(bd)
- Division: (a/b) ÷ (c/d) = (ad)/(bc)
Features:
- Automatic fraction simplification
- Decimal conversion
- Step-by-step calculation display
- Support for mixed numbers and improper fractions
Rules:
- Denominators cannot be zero
- Fractions are automatically simplified
- Negative fractions are supported
- Results are shown in lowest terms
Applications:
- Mathematics education and homework
- Engineering and construction calculations
- Cooking and recipe adjustments
- Financial calculations and ratios
Note: The calculator automatically simplifies fractions to their lowest terms using the greatest common divisor (GCD).
Frequently Asked Questions
How do I add fractions?
To add fractions, find a common denominator, add the numerators, and simplify the result. For example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12.
How do I subtract fractions?
To subtract fractions, find a common denominator, subtract the numerators, and simplify the result. For example: 3/4 - 1/6 = 9/12 - 2/12 = 7/12.
How do I multiply fractions?
To multiply fractions, multiply the numerators together and the denominators together, then simplify. For example: 2/3 × 3/4 = 6/12 = 1/2.
How do I divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second fraction, then simplify. For example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9.
What is fraction simplification?
Fraction simplification reduces a fraction to its lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).